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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.6, Problem 64E

(a)

To determine

The function *f* that models the purchase price of the cell phone as function of the regular price *x*.

Expert Solution

The value of the function *f* is

**Given:**

The discount applies on price of cell phone is 20%.

**Calculation:**

The price of cell phone is *x*.

The discount applies on price of cell phone is 20%.

Since the function *f* that models the purchase price of the cell phone as a function of the regular price *x*, therefore the function *f* is written as the difference between actual price of cell phone and discount,

Thus, the value of the function *f* is

(b)

To determine

The function *g* that models the purchase price of the cell phone as a function of the sticker price *x*.

Expert Solution

The value of the function *g* is

**Given:**

The function *g* is the function that models the purchase price of the cell phone as a function of the sticker price *x*.

The amount of coupon is

**Calculation:**

Since the function *g* is the function that models the purchase price of the cell phone as a function of the sticker price *x*, therefore the function *g* is written as the difference between actual price of cell phone and the amount of the coupon,

Thus, the value of the function *g* is

(c)

To determine

The values of

Expert Solution

The value of

**Given:**

From part (a), the value of function *f* is given below,

From part (b), the value of function *g* is given below,

**Calculation:**

The composite function

From equation (2), substitute

Substitute
*x* in equation (1), to find the value of

Substitute

The purchase price from the composite function

The composite function

From equation (1), substitute

Substitute
*x* in equation (2), to find the value of

Substitute

The purchase price from the composite function

The purchase price from the composite function

Thus, the value of